what is lcm of 9 and 15 with method
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Step-by-step explanation:
Prime Factorization of 9
3 |9
3 |3
1 |
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32
Prime Factorization of 15
3|15
5 |5
1 |
Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:
15 = 31×51
Now multiplying the highest exponent prime factors to calculate the LCM of 9 and 15.
LCM(9,15) = 32×51
LCM(9,15) = 45
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1, 3, 9
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1, 3, 5, 15
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